Topology optimization of plane structures using smoothed particle hydrodynamics method

Jun Lin (1) , Yanjin Guan (1) , Guoqun Zhao (1) , Hakim Naceur (2) , Ping Lu (3)

1 Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
3 HQU - Huaqiao University

This paper presents an alternative topology optimization method based on an efficient meshless smoothed particle hydrodynamics (SPH) algorithm. To currently calculate the objective compliance, the deficiencies in standard SPH method are eliminated by introducing corrective smoothed particle method and total Lagrangian formulation. The compliance is established relative to a designed density variable at each SPH particle which is updated by optimality criteria method. Topology optimization is realized by minimizing the compliance using a modified solid isotropic material with penalization approach. Some numerical examples of plane elastic structure are carried out and the results demonstrate the suitability and effectiveness of the proposed SPH method in the topology optimization problem

Domaines: Mécanique [physics.med-ph]

Jun Lin, Yanjin Guan, Guoqun Zhao, Hakim Naceur, Ping Lu. Topology optimization of plane structures using smoothed particle hydrodynamics method. International Journal for Numerical Methods in Engineering, 2017, 110 (8), pp.726-744. ⟨10.1002/nme.5427⟩. ⟨hal-03448089⟩